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Isaac can purchase a certain item in four different ways, as

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anilnandyala
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Isaac can purchase a certain item in four different ways, as [#permalink] New post   09 Nov 2010, 06:35
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1. Internet: $80, with no sales tax, plus $10 shipping fee
2. Store X: $90, a 10% discount, plus 10% tax on discounted price
3. Store Y: $90, no tax
4. Store Z: $90, a 10% sales tax, and $10 rebate after tax

Isaac can purchase a certain item in four different ways, as shown in the table. What is the lowest price for which he can purchase this item?

A. 88.10
B. 89.00
C. 89.10
D. 89.50
E. 90.00
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B

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Bunuel
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Re: isaac can purchase [#permalink] New post   09 Nov 2010, 06:45
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1. Internet: $80, with no sales tax, plus $10 shipping fee
2. Store X: $90, a 10% discount, plus 10% tax on discounted price
3. Store Y: $90, no tax
4. Store Z: $90, a 10% sales tax, and $10 rebate after tax

Isaac can purchase a certain item in four different ways, as shown in the table. What is the lowest price for which he can purchase this item?
A. 88.10
B. 89.00
C. 89.10
D. 89.50
E. 90.00


1. Internet: $80, with no sales tax, plus $10 shipping fee --> 80+10=90;
2. Store X: $90, a 10% discount, plus 10% tax on discounted price --> 90*0.9*1.1=89.1
3. Store Y: $90, no tax --> 90;
4. Store Z: $90, a 10% sales tax, and $10 rebate after tax --> 90*1.1-10=89.

So the lowest price is $89.

Answer: B.
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Re: isaac can purchase [#permalink] New post   09 Nov 2010, 08:11
An easy question i suppose could have taken max upto a minute to solve
Lowest price comes out to be 89
from Store Z: $90, a 10% sales tax, and $10 rebate after tax
which is 10% of 90 = 9 hence price + Sales tax = 90 +9 =99$
99$ - 10$ = 89$
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Re: isaac can purchase [#permalink] New post   10 Nov 2010, 05:46
thanks bunuel i didn't study q properly
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Re: isaac can purchase [#permalink] New post   29 Mar 2011, 09:00
anilnandyala wrote:
thanks bunuel i didn't study q properly


No, Anil, the issue is not about studying, but about attention... I got trapped by this question just like you did :oops:
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Re: isaac can purchase [#permalink] New post   29 Mar 2011, 19:20
Option 2 = (90 - 9) + 0.1 * 81

= 81 + 8.1 = 89.10

Option 4 = 90 + 0.1 * 90 - 10

= 89
So the OA is correct - B
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Isaac can purchase a certain item in four different ways, as [#permalink] New post   Updated on: 04 Oct 2020, 03:33
OFFICIAL GMAT EXPLANATION

If Isaac purchases the item from the Internet, he will pay $(80 + 10) = $90.

If Isaac purchases the item from Store X, he will pay
$90 – 0.10($90) + 0.10[$90 – 0.10($90)] = $90 – $9 + $8.10 = $89.10.

If Isaac purchases the item from Store Y, he will pay $90.

If Isaac purchases the item from Store Z, he will pay
$90 + 0.10($90) – $10 = $90 + $9 – $10 = $89.

Therefore, the lowest price for which he can purchase the item is $89.00.

Originally posted by Hovkial on 04 Oct 2020, 00:46.
Last edited by Hovkial on 04 Oct 2020, 03:33, edited 1 time in total.
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Re: Isaac can purchase a certain item in four different ways, as [#permalink] New post   04 Oct 2020, 03:27
Expert Reply
1. Internet: $80, with no sales tax, plus $10 shipping fee : $80 + $10 = $90

2. Store X: $90, a 10% discount, plus 10% tax on discounted price: $90 * \(\frac{90}{100}\) * \(\frac{110}{100}\) = $89.1

3. Store Y: $90, no tax: $90

4. Store Z: $90, a 10% sales tax, and $10 rebate after tax: $90 * \(\frac{110}{100}\) - 10 = 89

The lowest price is $89.0

Answer B
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Re: Isaac can purchase a certain item in four different ways, as [#permalink] New post   30 Aug 2023, 08:21
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Let's calculate the total cost for each option and then determine the lowest price at which Isaac can purchase the item.

1. Internet:
Cost: $80 + $10 (shipping fee) = $90

2. Store X:
Discounted Price: $90 - 10% of $90 = $90 - $9 = $81
Tax on Discounted Price: 10% of $81 = $8.10
Total Cost: $81 + $8.10 = $89.10

3. Store Y:
Cost: $90 (no tax)

4. Store Z:
Sales Tax: 10% of $90 = $9
Cost after Tax: $90 + $9 = $99
Rebate: $10
Total Cost: $99 - $10 = $89

The lowest price at which Isaac can purchase the item is $89, which is by choosing Store X or Store Z.
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Re: Isaac can purchase a certain item in four different ways, as [#permalink] New post   30 Aug 2023, 11:54
Let us analyze the options one by one,

1. Internet: $80, with no sales tax, plus $10 shipping fee => 80+10=90
2. Store X: $90, a 10% discount, plus 10% tax on discounted price => 1.1(90*0.9) = 89.1
3. Store Y: $90, no tax =>90
4. Store Z: $90, a 10% sales tax, and $10 rebate after tax => [90*1.1]-10 =99 - 10 =89

Answer B
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Re: Isaac can purchase a certain item in four different ways, as [#permalink]
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